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Property(ω_1) and Single Valued Extension Property 被引量：1

Property(ω_1) and Single Valued Extension Property
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摘要 In this note we study the property（ω1）,a variant of Weyl＇s theorem by means of the single valued extension property,and establish for a bounded linear operator defined on a Banach space the necessary and sufficient condition for which property（ω1） holds.As a consequence of the main result,the stability of property（ω1） is discussed. In this note we study the property（ω1）,a variant of Weyl＇s theorem by means of the single valued extension property,and establish for a bounded linear operator defined on a Banach space the necessary and sufficient condition for which property（ω1） holds.As a consequence of the main result,the stability of property（ω1） is discussed.
作者 Chen Hui SUN Xiao Hong CAO Lei DAI
机构地区 College of Mathematics and Information Science
出处 《Journal of Mathematical Research and Exposition》 CSCD 2010年第6期1009-1014,共6页 数学研究与评论（英文版）
基金 Supported by the Fundamental Research Funds for the Central Universities (Grant No.GK200901015) the Innovation Funds of Graduate Programs,SNU (Grant No.2009cxs028)
关键词 property（ω1） single valued extension property. property（ω1） single valued extension property.
分类号 O177.2 [理学—基础数学]
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Journal of Mathematical Research and Exposition
2010年 第6期

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